In this lesson, we will learn how to calculate the rotational kinetic energy of a rotating object from its moment of inertia and its angular velocity.
Students will be able to
Q1:
Which of the following relations describes how the rotational kinetic energy, 𝐾, of a rotating object varies with the moment of inertia, 𝐼, of that object around its axis of rotation?
Q2:
A baseball bat that is being swung to hit a baseball has rotational kinetic energy of 1,490 J and an angular velocity of 12.1 rad/s. What is the moment of inertia of the object around its axis of rotation? Give your answer to one decimal place.
Q3:
A rotating object has rotational kinetic energy of 4,000 J. A torque is applied to the object and 2,600 J of rotational work is done accelerating the object. If the object has a moment of inertia of 12⋅kgm, what is its angular velocity after the torque has been applied? Give your answer to one decimal place.
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